What is (\partial)/(\partial x)(9e^{xy}+8) ?

The answer to (\partial)/(\partial x)(9e^{xy}+8) is 9e^{xy}y

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(\partial)/(\partial x)(9e^{xy}+8)

\frac{\partial}{\partial x} (9 e^{x y} + 8)

9 e^{x y} y

Solution steps

\frac{\partial}{\partial x} (9 e^{x y} + 8)

Treat

y

as a constant

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{\partial}{\partial x} (9 e^{x y}) + \frac{\partial}{\partial x} (8)

\frac{\partial}{\partial x} (9 e^{x y}) = 9 e^{x y} y

\frac{\partial}{\partial x} (8) = 0

= 9 e^{x y} y + 0

Simplify

= 9 e^{x y} y

\int \frac{x ^{2} + 5}{x ^{3} + 4 x} d x

(3) (8.6)

\frac{\partial}{\partial y} (\frac{x - y}{y + z})

x \to - 5 lim (\frac{\frac{5}{x} + 1}{x + 5})

\frac{\partial}{\partial x} (x^{\frac{y}{z}})

What is (\partial)/(\partial x)(9e^{xy}+8) ?
The answer to (\partial)/(\partial x)(9e^{xy}+8) is 9e^{xy}y